Maximal possible accretion rates for slim disks

It was proved in the previous work that there must be a maximal possible accretion rate Mmax for a slim disk. Here we discuss how the value of Mmax depends on the two fundamental parameters of the disk,namely the mass of the central black hole M and the viscosity parameter α. It is shown that Mmax increases with decreasing α,but is almost independent of M if Mmax is measured by the Eddington accretion rate MEdd ,which is in turn proportional to M.

It was proved in the previous work that there must be a maximal possible accretion rate $ \dot M_{max} $ for a slim disk. Here we discuss how the value of $ \dot M_{max} $ depends on the two fundamental parameters of the disk, namely the mass of the central black hole M and the viscosity parameter α. It is shown that $ \dot M_{max} $ increases with decreasing α, but is almost independent of M if $ \dot M_{max} $ is measured by the Eddington accretion rate $ \dot M_{Edd} $ , which is in turn proportional to M.